GCD of 290, 983, 850, 975 Calculator

Given Input numbers are 290, 983, 850, 975

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 290, 983, 850, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 983, 850, 975 is 1.

Therefore, GCD of numbers 290, 983, 850, 975 is 1

Given Input Data is 290, 983, 850, 975

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 983 is 983

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(290, 983) = 285070

GCD(290, 983) = ( 290 x 983 ) / 285070

GCD(290, 983) = 285070 / 285070

GCD(290, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 290, 983, 850, 975 is 1

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1. What is the GCD of 290, 983, 850, 975?

GCD of 290, 983, 850, 975 is 1

2. Where do I get the detailed procedure to find GCD of 290, 983, 850, 975?

You can find a detailed procedure to find GCD of 290, 983, 850, 975 on our page.

3. How to find GCD of 290, 983, 850, 975 on a calculator?

You can find the GCD of 290, 983, 850, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.